Results 91 to 100 of about 371 (139)

Liouville's type results for singular anisotropic operators

Analysis and Geometry in Metric Spaces
We present two Liouville-type results for solutions to anisotropic elliptic equations that have a growth of power 2 along the first ss coordinate directions and of power pp, with ...
Maria Cassanello Filippo, Bashayer Majrashi, Vincenzo Vespri   +2 more
doaj   +1 more source

Пълна интегруемост на една нелинейна елиптична система, пораждаща би-омбилични фолирани полусиметрични хиперповърхнини в R^4

, 2010
Николай Кутев, Величка Милушева - Намираме експлицитно всичките би-омбилични фолирани полусиметрични повърхнини в четиримерното евклидово пространство R^4We find explicitly all bi-umbilical foliated semi-symmetric hypersurfaces in the four- dimensional ...
Kutev, Nikolai, Milousheva, Velichka
core  

Local Hölder estimates for general elliptic p(x)-Laplacian equations [PDF]

, 2014
. In this paper we obtain the interior Hölder regularity of the gradients of weak solutions for general elliptic p(x) -Laplacian equations under some proper assumptions on a and the Hölder continuous functions p,f .
Fengping Yao
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Theory and Numerics for a Semilinear Elliptic PDE, with an Application in the Theory of Pseudoplastic Fluids [PDF]

, 1996
In this work we provide a survey of the existence, uniqueness, and analyticity of the solutions for the problem \Deltau + p(x)u \Gammafl = 0; x 2\Omega ` R n ; n 1: We establish numerical solutions in one- and two-dimensional bounded regions using ...
Van Emden Henson, Aihua W. Shaker, Henson, Van Emden, Shaker, Aihua W.   +3 more
core  

A stochastic analogue of Aubry-Mather theory

, 2007
In this paper, we discuss a stochastic analogue of Aubry--Mather theory in which a deterministic control problem is replaced by a controlled diffusion. We prove the existence of a minimizing measure (Mather measure) and discuss its main properties using ...
Diogo Aguiar Gomes
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AVersatile Spectral Matrix Collocation Method for Tackling Bratu, Riccati, and Higher Order Linear and Nonlinear Differential Equations Containing Delay Variables

 This study presents a numerical matrix collocation method for solving Bratu equations, Riccati equations, and high-order linear/nonlinear differential equations with delay variables—all of which hold significant importance in the literature ...
Baykuş Savaşaneril, Nurcan, Çevik, Mehmet   +1 more
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© Hindawi Publishing Corp. UNIQUENESS OF SEMILINEAR ELLIPTIC INVERSE PROBLEM

, 2003
We consider the uniqueness of the inverse problem for a semilinear elliptic dif-ferential equation with Dirichlet condition. The necessary and sufficient condition of a unique solution is obtained. We improved the results obtained by Isakov and Sylvester
Chaochun Qu, Ping Wang
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Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems. [PDF]

Springerplus, 2016
Cheng B.
europepmc   +1 more source

The interior curvature bounds for a class of curvature quotient equations

Advanced Nonlinear Studies
For elliptic partial differential equations, the pure interior C 2 estimates and Pogorelov type estimates are important issues. In this paper, we study the interior estimates of Γk̃ $\tilde {{{\Gamma}}_{k}}$ -admissible solutions for curvature quotient ...
Jia Haohao
doaj   +1 more source

Solutions to the nonlinear Schrödinger systems involving the fractional Laplacian. [PDF]

J Inequal Appl, 2018
Qu M, Yang L.
europepmc   +1 more source